What is factor c^{30}+27/1000 ?

The solution to factor c^{30}+27/1000 is (c^{10}+3/10)(c^{20}-(3c^{10})/(10)+9/100)

Popular >

factor c^{30}+27/1000

factor

c^{30} + \frac{27}{1000}

(c^{10} + \frac{3}{10}) (c^{20} - \frac{3 c ^{10}}{10} + \frac{9}{100})

Solution steps

c^{30} + \frac{27}{1000}

Apply exponent rules

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

= (c^{10} + \frac{3}{10}) (c^{20} - \frac{3 c ^{10}}{10} + (\frac{3}{10})^{2})

Simplify

(c^{10} + \frac{3}{10}) (c^{20} - \frac{3 c ^{10}}{10} + (\frac{3}{10})^{2}) : (c^{10} + \frac{3}{10}) (c^{20} - \frac{3 c ^{10}}{10} + \frac{9}{100})

= (c^{10} + \frac{3}{10}) (c^{20} - \frac{3 c ^{10}}{10} + \frac{9}{100})

5 x^{3} - 20 x^{2} - 25 x

\frac{a + 3 b}{3 ab} + \frac{a ^{2} b - 4 a b ^{2}}{5 a ^{2} b ^{2}}

- 8 x^{3} - 30 x^{2} - 18 x < 0

∣ x - 2 ∣ > 0

x^{3} - 2 x^{2} + 6 x - 5

What is factor c^{30}+27/1000 ?
The solution to factor c^{30}+27/1000 is (c^{10}+3/10)(c^{20}-(3c^{10})/(10)+9/100)